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Introductory Functional Analysis with Applications
KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Emil Artin
Geometnc Algebra R. W. Carter
Simple Groups Of Lie Type Richard Courant
Differential and Integrai Calculus. Volume I Richard Courant
Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert
Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert
Methods of Mathematical Physics. Volume II Harold M. S. Coxeter
Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner
Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz
unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz
Linear Operators, Part Two. Spectral Theory―Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz
Linear Operators. Part Three. Spectral Operators Peter Henrici
Applied and Computational Complex Analysis. Volume I―Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu
A Course in Modern Algebra Harry Hochstadt
Integral Equations Erwin Kreyszig
Introductory Functional Analysis with Applications P. M. Prenter
Splines and Variational Methods C. L. Siegel
Topics in Complex Function Theory. Volume I ―Elliptic Functions and Uniformizatton Theory C. L. Siegel
Topics in Complex Function Theory. Volume II ―Automorphic and Abelian Integrals C. L. Siegel
Topics In Complex Function Theory. Volume III ―Abelian Functions & Modular Functions of Several Variables J. J. Stoker
Differential Geometry
Geometnc Algebra R. W. Carter
Simple Groups Of Lie Type Richard Courant
Differential and Integrai Calculus. Volume I Richard Courant
Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert
Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert
Methods of Mathematical Physics. Volume II Harold M. S. Coxeter
Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner
Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz
unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz
Linear Operators, Part Two. Spectral Theory―Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz
Linear Operators. Part Three. Spectral Operators Peter Henrici
Applied and Computational Complex Analysis. Volume I―Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu
A Course in Modern Algebra Harry Hochstadt
Integral Equations Erwin Kreyszig
Introductory Functional Analysis with Applications P. M. Prenter
Splines and Variational Methods C. L. Siegel
Topics in Complex Function Theory. Volume I ―Elliptic Functions and Uniformizatton Theory C. L. Siegel
Topics in Complex Function Theory. Volume II ―Automorphic and Abelian Integrals C. L. Siegel
Topics In Complex Function Theory. Volume III ―Abelian Functions & Modular Functions of Several Variables J. J. Stoker
Differential Geometry
688 pages, Paperback
First published January 1, 1978
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Displaying 1 - 8 of 8 reviews
May 12, 2011
This was my textbook for a graduate course in functional analysis, and it is called "classic" by many professors. Don't be fooled by the title of the book: "Introductory" simply means the author assumes you have not seen the subject before, and it is by no means an easy subject. However, the exposition is extremely clear. Kreyszig saved me on numerous occasions as my companion on a treacherous journey through graduate functional analysis.
This book does what few math textbooks do, though all of them should do. Rather than assail you with theorem, proof, theorem, proof, Kreyszig first tells you what he is about to show you, then explains the motivation -- i.e., why we need the following theorem. Then, once outlined, properly motivated, and placed in context, he delivers the theorem and its proof. Furthermore, Kreyszig explicitly spells out what other texts might assume you will "read between the lines", explaining why and how we are able to take each step forward during a proof.
The problems in the book are also good. They are at a level such that you can attempt them and solve them on your own, while at the same time they give you the hands-on experience you need in order to gain a deeper understanding of the principles at hand. They serve as a great confidence-builder before you venture onward and attempt harder problems (for example, in other texts or in research).
As a final treat for physicists, the last chapter takes the mathematics you've learned throughout the book and applies it in an introduction to quantum mechanics. My only gripe with this final chapter (and indeed my only -- minor -- complaint for the entire book) is that most of the interesting results of quantum mechanics arise not from the book's exposition, but as problems for the reader to work out. Of course, if you want to learn quantum mechanics, this isn't the book to begin with but rather a very nice mathematical supplement.
I would recommend this book to anyone wanting to learn functional analysis.
This book does what few math textbooks do, though all of them should do. Rather than assail you with theorem, proof, theorem, proof, Kreyszig first tells you what he is about to show you, then explains the motivation -- i.e., why we need the following theorem. Then, once outlined, properly motivated, and placed in context, he delivers the theorem and its proof. Furthermore, Kreyszig explicitly spells out what other texts might assume you will "read between the lines", explaining why and how we are able to take each step forward during a proof.
The problems in the book are also good. They are at a level such that you can attempt them and solve them on your own, while at the same time they give you the hands-on experience you need in order to gain a deeper understanding of the principles at hand. They serve as a great confidence-builder before you venture onward and attempt harder problems (for example, in other texts or in research).
As a final treat for physicists, the last chapter takes the mathematics you've learned throughout the book and applies it in an introduction to quantum mechanics. My only gripe with this final chapter (and indeed my only -- minor -- complaint for the entire book) is that most of the interesting results of quantum mechanics arise not from the book's exposition, but as problems for the reader to work out. Of course, if you want to learn quantum mechanics, this isn't the book to begin with but rather a very nice mathematical supplement.
I would recommend this book to anyone wanting to learn functional analysis.
November 26, 2008
This is apparently a classic text on functional analysis. While it is not perfect, I do find it to be the best thing I've read on the subject. (Thus the 5 stars -- not that it's ideal, but it's the best I've found in the area.) It's well written and more accessible than most texts at this mathematical level. (For a contrast, see my review of Grace Wahba's Spline Models for Observational Data.)
It was through this book that I first began to appreciate the awesome elegance and power of functional analysis.
It was through this book that I first began to appreciate the awesome elegance and power of functional analysis.
March 2, 2016
Kreyszig is a good writer. The book is well organized and has many examples and exercises. But it is not an advanced book in Functional Analysis.
March 11, 2025
this is the only book that ever made me cry
February 9, 2018
I have rated this book 5 stars as it is the best introductory book on the subject with proper motivations that I have found in the market. The problem sets start off with basic results but slowly become more and more difficult. I still have not finished the book yet. I needed functional analysis for quantum mechanics and picked this book mainly because the last chapter on unbounded operators includes applications in quantum mechanics. I am very happy with the text till now. I especially liked the motivation for some of the main theorems in functional analysis like the open mapping theorem and the closed graph theorem. The treatment of the spectral theory of compact operators is also very satisfactory for an introduction to the field. Overall, I highly recommend this book for those who have some background in analysis and linear algebra, especially physics students who want to study the mathematical structure of quantum mechanics.
January 3, 2020
Really enjoyed this treatment of functional analysis. Much better than the other books and notes I've read on the subject; however, it really is an introduction, and you'll need to supplement it with other sources for more advanced topics
September 20, 2021
This is a classic book on the functional analysis. I used this text to study the subject a long time ago and it was such a pleasure to read it again.
September 12, 2020
Skimmed some of it, since I needed to know some basic concepts of functional analysis.
It fulfilled this purpose nicely.
It fulfilled this purpose nicely.
Displaying 1 - 8 of 8 reviews